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Machine Learning Kreuzer--Skarke Calabi--Yau Threefolds (2112.09117v1)
Published 16 Dec 2021 in hep-th, cs.LG, and math.AG
Abstract: Using a fully connected feedforward neural network we study topological invariants of a class of Calabi--Yau manifolds constructed as hypersurfaces in toric varieties associated with reflexive polytopes from the Kreuzer--Skarke database. In particular, we find the existence of a simple expression for the Euler number that can be learned in terms of limited data extracted from the polytope and its dual.